@article {1177,
title = {Kitaev chains with long-range pairing},
journal = {Physical Review Letters},
volume = {113},
year = {2014},
month = {2014/10/9},
abstract = { We propose and analyze a generalization of the Kitaev chain for fermions with
long-range $p$-wave pairing, which decays with distance as a power-law with
exponent $\alpha$. Using the integrability of the model, we demonstrate the
existence of two types of gapped regimes, where correlation functions decay
exponentially at short range and algebraically at long range ($\alpha > 1$) or
purely algebraically ($\alpha < 1$). Most interestingly, along the critical
lines, long-range pairing is found to break conformal symmetry for sufficiently
small $\alpha$. This is accompanied by a violation of the area law for the
entanglement entropy in large parts of the phase diagram in the presence of a
gap, and can be detected via the dynamics of entanglement following a quench.
Some of these features may be relevant for current experiments with cold atomic
ions.
},
doi = {10.1103/PhysRevLett.113.156402},
url = {http://arxiv.org/abs/1405.5440v2},
author = {Davide Vodola and Luca Lepori and Elisa Ercolessi and Alexey V. Gorshkov and Guido Pupillo}
}